Fisher (1936)’s iris data give sepal and petal dimensions for three different species of iris. The data, which are available in the Sashelp library, are clustered by kth-nearest-neighbor density linkage by using the CLUSTER procedure with K=8. Observations are identified by species (Setosa, Versicolor, or Virginica) in the tree diagram, which is oriented with the height axis horizontal.
The following statements produce the results shown in Output 94.2.1 and Output 94.2.2:
title 'Fisher (1936) Iris Data'; ods graphics on; proc cluster data=sashelp.iris method=twostage print=10 outtree=tree k=8 noeigen; var SepalLength SepalWidth PetalLength PetalWidth; copy Species; run;
proc tree data=tree horizontal lineprinter pages=1 maxh=10; id species; run;
The PAGES=1 option specifies that the tree diagram extend over one page from tree to root. Since the HORIZONTAL option is also specified, the horizontal extent of the diagram is one page. The number of vertical pages required for the diagram is dictated by the number of leaves in the tree.
The MAXH=10 limits the values displayed on the height axis to a maximum of 10. This prunes the tree diagram so that only the portion from the leaves to level 10 is displayed. You can see this pruning effect in Output 94.2.2.
Fisher (1936) Iris Data |
Root-Mean-Square Total-Sample Standard Deviation | 10.69224 |
---|
Cluster History | |||||||
---|---|---|---|---|---|---|---|
Number of Clusters |
Freq | Normalized Fusion Density |
Maximum Density in Each Cluster |
Tie | |||
Clusters Joined | Lesser | Greater | |||||
10 | CL11 | OB79 | 48 | 0.2879 | 0.1479 | 8.3678 | |
9 | CL13 | OB112 | 46 | 0.2802 | 0.2005 | 3.5156 | |
8 | CL10 | OB113 | 49 | 0.2699 | 0.1372 | 8.3678 | |
7 | CL8 | OB91 | 50 | 0.2586 | 0.1372 | 8.3678 | |
6 | CL9 | OB120 | 47 | 0.1412 | 0.0832 | 3.5156 | |
5 | CL6 | OB118 | 48 | 0.107 | 0.0605 | 3.5156 | |
4 | CL5 | OB110 | 49 | 0.0969 | 0.0541 | 3.5156 | |
3 | CL4 | OB135 | 50 | 0.0715 | 0.0370 | 3.5156 | |
2 | CL7 | CL3 | 100 | 2.6277 | 3.5156 | 8.3678 |
Fisher (1936) Iris Data |
Cluster Fusion Density 0 1 2 3 4 5 6 7 8 9 10 +-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+ I Setosa XXXXXXXXXXX.................................................. r XXXXXXXXXXX i Setosa XXXXXXXXXXXXXXXXXX........................................... s XXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXX........................................ S XXXXXXXXXXXXXXXXXXXXX p Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX............................... e XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX c Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX.............................. i XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX e Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX............................. s XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX............................ XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX........................ XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX. XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX.. XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX............................ XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX.............................. XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX............................... XXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXX..................................... XXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXX.............................................. XXXXXXXXXXXXX Setosa XXXXXXXXXXXXX................................................ XXXXXXXXXXXXX Setosa XXXXXXXXXXXXX................................................ XXXXXXXXXX Setosa XXXXXXXXXX................................................... XXXXXXX Setosa XXXXXXX...................................................... XXXX Setosa XXXX......................................................... XXX Setosa XXX.......................................................... Versicolor XXX.......................................................... XXX Versicolor XXX.......................................................... XXX Versicolor XXXXXXXX..................................................... XXXXXXXX Versicolor XXXXXXXXX.................................................... XXXXXXXXX Versicolor XXXXXXXXX.................................................... XXXXXXXXX Versicolor XXXXXXXXXXX.................................................. XXXXXXXXXXX Versicolor XXXXXXXXXXX.................................................. XXXXXXXXXXX Versicolor XXXXXXXXXXXX................................................. XXXXXXXXXXXX Versicolor XXXXXXXXXXXXX................................................ XXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXX............................................... XXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXX.............................................. XXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXX............................................ XXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXX............................................ XXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXX............................................ XXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXX........................................... XXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXX....................................... XXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXX...................................... XXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXX.................................... XXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXX.................................... XXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXX...................................... XXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXX....................................... XXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXX......................................... XXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXX......................................... XXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXX....................................... XXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX.............................. XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX.............................. XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX............................ XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX......................... XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX........................ XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX.................... XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX............. XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX............. XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX......................... XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX............................ XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX............................... XXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXX....................................... XXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXX........................................ XXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXX......................................... XXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXX........................................... XXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXX........................................... XXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXX............................................. XXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXX............................................... XXXXXXXXXXXXX Versicolor XXXXXXXXXXXXX................................................ XXXXXXXXXXXX Versicolor XXXXXXXXXXXX................................................. XXXXXXXXXXXX Versicolor XXXXXXXXXXXX................................................. XXXXXXXXXX Virginica XXXXXXXXXX................................................... XXXXXXX Versicolor XXXXXXX...................................................... XXX Versicolor XXX.......................................................... XXX Versicolor XXX.......................................................... XXX Virginica XXX.......................................................... X Virginica XX........................................................... XX Virginica XX........................................................... XX Virginica XXX.......................................................... XXX Virginica XXX.......................................................... XXX Virginica XXXX......................................................... XXXX Versicolor XXXXX........................................................ XXXXX Virginica XXXXXX....................................................... XXXXXX Virginica XXXXXX....................................................... XXXXXX Virginica XXXXXXXXXX................................................... XXXXXXXXXX Virginica XXXXXXXXXXX.................................................. XXXXXXXXXXX Virginica XXXXXXXXXXX.................................................. XXXXXXXXXXX Virginica XXXXXXXXXXXX................................................. XXXXXXXXXXXX Virginica XXXXXXXXXXXXXX............................................... XXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXX............................................... XXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXX.............................................. XXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXX.............................................. XXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXX.............................................. XXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXX............................................. XXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXX............................................. XXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXX.......................................... XXXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXXX.......................................... XXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXX........................................... XXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXX........................................... XXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXXX.......................................... XXXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXXXXX........................................ XXXXXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXXXXX........................................ XXXXXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXXXXX........................................ XXXXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXXXX......................................... XXXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXXX.......................................... XXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXX........................................... XXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXX............................................. XXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXX.............................................. XXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXX.............................................. XXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXX............................................... XXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXX............................................... XXXXXXXXXXXXX Virginica XXXXXXXXXXXXX................................................ XXXXXXXXXXXXX Virginica XXXXXXXXXXXXX................................................ XXXXXXXXXXXX Virginica XXXXXXXXXXXX................................................. XXXXXXXXXXX Virginica XXXXXXXXXXX.................................................. XXXXXXXX Virginica XXXXXXXX..................................................... XXXXXXXX Virginica XXXXXXXX..................................................... XXXXXX Virginica XXXXXX....................................................... XXXXXX Virginica XXXXXX....................................................... XXXXX Virginica XXXXX........................................................ XXXXX Virginica XXXXX........................................................ XXXX Virginica XXXX......................................................... XXXX Virginica XXXX......................................................... XXX Virginica XXX.......................................................... XX Virginica XX........................................................... X Virginica X............................................................ |